@article{ca4a39ec74704178b90370b90fd6fcdc,
title = "Polynomial generating pairing and its criterion for optimal pairing",
abstract = "We define a polynomial generating pairing (PGP) and propose a method to construct a family of pairing friendly curves from PGP. We show that a bilinear map over the family is directly determined by the coefficients of the PGP and the map is non-degenerate under a minor condition which is satisfied with cryptographic parameters. Finally, we provide a criterion for PGP to obtain an optimal pairing.",
keywords = "Optimal pairing, Pairing-friendly elliptic curve, Polynomial generating pairing",
author = "Eunjeong Lee and Lee, {Hyang Sook} and Park, {Cheol Min}",
note = "Funding Information: The authors would like to thank the anonymous referees for the helpful comments. Eunjeong Lee was supported by Basic Science Research Program (Grant No. 2011-0022600). Hyang-Sook Lee was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (Grant No. 2012R1A2A1A03006706). Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",
year = "2014",
month = aug,
day = "18",
doi = "10.1007/s00200-014-0225-4",
language = "English",
volume = "25",
pages = "227--247",
journal = "Applicable Algebra in Engineering, Communications and Computing",
issn = "0938-1279",
publisher = "Springer Verlag",
number = "4",
}